Elliptic curve isogeny class 9.2-b over number field 3.3.473.1

• Base field: 3.3.473.1
• Label: 3.3.473.1-9.2-b
• Conductor: 9.2
• Rank: \( 0 \)

Base field 3.3.473.1

Generator \(a\), with minimal polynomial \( x^{3} - 5 x - 1 \); class number \(1\).

Elliptic curves in class 9.2-b over 3.3.473.1

Isogeny class 9.2-b contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
9.2-b1	\( \bigl[a + 1\) , \( a^{2} + a - 3\) , \( a\) , \( -1441 a^{2} - 3372 a - 656\) , \( -75023 a^{2} - 174582 a - 31725\bigr] \)
9.2-b2	\( \bigl[a + 1\) , \( a^{2} + a - 3\) , \( a\) , \( -a^{2} - 2 a - 1\) , \( -9 a^{2} - 21 a - 5\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph